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177 problems, every one written from scratch, every wrong answer carrying the mistake that produces it. 708 explanations in all.

Level

1–2
3–4
5–6
7–8
9–10
11–12

Point value

3 pt
4 pt
5 pt

Strand

NUMNumber & Arithmetic
CNTCounting
GEOGeometry & Visualization
LOGLogic & Deduction
PATPatterns & Sequences
MODModeling & Word Problems
CFTContest Craft

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31 problemsClear all filters

KA-0002
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Ana adds up the first seven odd numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13. Is her total odd or even, and what is it?
NUM-03Parity of numbers (odd/even behavior)
KA-0006
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
On the number line shown, the marks are equally spaced. What number does the arrow point to?
NUM-13Number lines and betweennessalso MOD-09
KA-0011
4 points, difficulty 2 of 3Level 3–4not yet calibrated
The four-digit number 27_4 is divisible by 3. Which digit could go in the gap?
NUM-04Divisibility rules: 2, 3, 4, 5, 9, 10also NUM-02
KA-0021
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Today is Tuesday. What day of the week will it be in 100 days?
NUM-06Remainders and modular cyclesalso PAT-03
KA-0024
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Red and blue counters are in the ratio 3 to 5. There are 40 counters altogether. How many are red?
NUM-11Ratio as parts of a wholealso NUM-09
KA-0026
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?
NUM-10Percentages and simple discountsalso NUM-09
KA-0033
4 points, difficulty 2 of 3Level 5–6not yet calibrated
The mean of five numbers is 12. One of the numbers is removed and the mean of the remaining four is 11. What number was removed?
NUM-15Means, and working backwards from a meanalso LOG-08
KA-0037
5 points, difficulty 3 of 3Level 5–6not yet calibrated
What is the units digit of 7 multiplied by itself 2026 times, that is 7 to the power 2026?
NUM-07Last-digit behavior of products and powersalso NUM-06, PAT-03
KA-0041
3 points, difficulty 1 of 3Level 5–6not yet calibrated
One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?
NUM-05Factors, multiples, LCM and GCD by listingalso NUM-06
KA-0049
5 points, difficulty 3 of 3Level 5–6not yet calibrated
The numbers 1 to 9 are placed in a row in some order. Can every neighbouring pair add up to an odd number?
NUM-03Parity of numbers (odd/even behavior)also LOG-05, CNT-04
KA-0053
4 points, difficulty 2 of 3Level 5–6not yet calibrated
What is the remainder when 2 to the power 30 is divided by 7?
NUM-06Remainders and modular cyclesalso PAT-03, NUM-07
KA-0055
3 points, difficulty 1 of 3Level 3–4not yet calibrated
In the number 4073, what is the value of the digit 7?
NUM-01Place value and digit positions

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